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Pith Number

pith:2JYAPLFM

pith:2019:2JYAPLFMAYLQXASRQ5675O3NOA
not attested not anchored not stored refs pending

Modular Invariance, Tauberian Theorems, and Microcanonical Entropy

Alexander Zhiboedov, Baur Mukhametzhanov

arxiv:1904.06359 v1 · 2019-04-12 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2JYAPLFMAYLQXASRQ5675O3NOA}

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Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-07-05T00:31:48.433262Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d27007acac06170b8251877dfebb6d70133422158cda494f530ef75062190dbf

Aliases

arxiv: 1904.06359 · arxiv_version: 1904.06359v1 · doi: 10.48550/arxiv.1904.06359 · pith_short_12: 2JYAPLFMAYLQ · pith_short_16: 2JYAPLFMAYLQXASR · pith_short_8: 2JYAPLFM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2JYAPLFMAYLQXASRQ5675O3NOA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d27007acac06170b8251877dfebb6d70133422158cda494f530ef75062190dbf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "30860e309b6cc901f7513a785be07dac0d170e1ff6fdbf5fb3b8581c140a3a6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-04-12T18:00:10Z",
    "title_canon_sha256": "58dd6734210fd91897273a813a22efbcddb84ed3688e841ae107cf163abd5875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06359",
    "kind": "arxiv",
    "version": 1
  }
}